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2232100031 = 71963126597
BaseRepresentation
bin1000010100001011…
…0010010010111111
312202120002102121112
42011002302102333
514032404200111
61005253352235
7106212352160
oct20502622277
95676072545
102232100031
11a45a64877
1252363867b
13297590465
14172635767
15d0e5ce8b
hex850b24bf

2232100031 has 16 divisors (see below), whose sum is σ = 2689589760. Its totient is φ = 1809591840.

The previous prime is 2232100019. The next prime is 2232100061. The reversal of 2232100031 is 1300012322.

It is a happy number.

It is not a de Polignac number, because 2232100031 - 222 = 2227905727 is a prime.

It is a super-3 number, since 3×22321000313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2232099979 and 2232100015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232100061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70625 + ... + 97221.

It is an arithmetic number, because the mean of its divisors is an integer number (168099360).

Almost surely, 22232100031 is an apocalyptic number.

2232100031 is a deficient number, since it is larger than the sum of its proper divisors (457489729).

2232100031 is a wasteful number, since it uses less digits than its factorization.

2232100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27254.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2232100031 is about 47245.1058946850. The cubic root of 2232100031 is about 1306.8865383060.

Adding to 2232100031 its reverse (1300012322), we get a palindrome (3532112353).

The spelling of 2232100031 in words is "two billion, two hundred thirty-two million, one hundred thousand, thirty-one".

Divisors: 1 7 19 133 631 4417 11989 26597 83923 186179 505343 3537401 16782707 117478949 318871433 2232100031